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BEGIN:VEVENT
SUMMARY:Toshiyuki Kobayashi (The University of Tokyo)
DTSTART:20210908T070000Z
DTEND:20210908T075000Z
DTSTAMP:20260422T212901Z
UID:AIM-RTNCG-SemRepTh/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AIM-RTNCG-Se
 mRepTh/1/">Tempered representations and limit algebras</a>\nby Toshiyuki K
 obayashi (The University of Tokyo) as part of Seminar in Representation Th
 eory\n\n\nAbstract\nI plan to discuss some new connection between the foll
 owing four (apparently un-\nrelated) topics:\n\n(1) (analysis) Tempered un
 itary representations on homogeneous spaces\n\n(2) (combinatorics) Convex 
 polyhedral cones\n\n(3) (topology) Limit algebras\n\n(4) (symplectic geome
 try) Quantization of coadjoint orbits\,\n\nbased on a series of joint pape
 rs with Y. Benoist "Tempered homogeneous spaces\nI–IV".\n
LOCATION:https://researchseminars.org/talk/AIM-RTNCG-SemRepTh/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chen-Bo Zhu (National University of Singapore)
DTSTART:20210908T075000Z
DTEND:20210908T084000Z
DTSTAMP:20260422T212901Z
UID:AIM-RTNCG-SemRepTh/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AIM-RTNCG-Se
 mRepTh/2/">Theta correspondence and special unipotent representations</a>\
 nby Chen-Bo Zhu (National University of Singapore) as part of Seminar in R
 epresentation Theory\n\n\nAbstract\nThe theory of theta correspondence\, i
 nitiated by Howe\, provides a powerful method of constructing irreducible 
 admissible representations of classical Lie groups. In this talk\, I will 
 discuss a recent work\, joint with Barbasch\, Ma and Sun\, in which we sho
 w that in addition to irreducible unitary parabolic inductions\, theta lif
 ts yield all special unipotent representations of a classical Lie group $G
 $. As a consequence of the construction and the classification\, we conclu
 de that all special unipotent representations of $G$ are unitarizable\, as
  predicted by the Arthur--Barbasch--Vogan conjecture.\n
LOCATION:https://researchseminars.org/talk/AIM-RTNCG-SemRepTh/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wee Teck Gan (National University of Singapore)
DTSTART:20210908T090000Z
DTEND:20210908T095000Z
DTSTAMP:20260422T212901Z
UID:AIM-RTNCG-SemRepTh/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AIM-RTNCG-Se
 mRepTh/3/">Twisted GGP problems and conjectures</a>\nby Wee Teck Gan (Nati
 onal University of Singapore) as part of Seminar in Representation Theory\
 n\n\nAbstract\nI will discuss some twisted variants of the GGP restriction
  problems in the setting of skew-Hermitian spaces. Together with Gross and
  Prasad\, we formulate conjectural answers to these twisted GGP problems a
 nd provide some evidences in low rank and for unitary principal series.\n
LOCATION:https://researchseminars.org/talk/AIM-RTNCG-SemRepTh/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Binyong Sun (Zhejiang University)
DTSTART:20210909T070000Z
DTEND:20210909T075000Z
DTSTAMP:20260422T212901Z
UID:AIM-RTNCG-SemRepTh/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AIM-RTNCG-Se
 mRepTh/4/">Archimedean period relations and period relations for automorph
 ic L-functions</a>\nby Binyong Sun (Zhejiang University) as part of Semina
 r in Representation Theory\n\n\nAbstract\nIt was known to Euler that $\\ze
 ta(2k)$ is a rational multiple of $\\pi^{2k}$\, where $\\zeta$ is the Eule
 r--Riemann zeta function\, and $k$ is a positive integer. Following the pi
 oneering works of G. Shimura\, P. Deligne and etc.\, D. Blasius proposed a
  conjecture which asserts that similar rationality results hold for very g
 eneral automorphic L-functions. We confirm Blasius's conjecture in two cas
 es: the standard L-functions of symplectic type (joint with Dihua Jiang an
 d Fangyang Tian)\, and the Rankin-Selberg L-functions for $\\operatorname{
 GL}(n)\\times\\operatorname{GL}(n-1)$ (joint with Jian-Shu Li and Dongwen 
 Liu). The key ingredient is the Archimedean period relations for the modul
 ar symbols at infinity. These two cases have already been studied by many 
 authors\, including Harris--Lin\, Grobner--Raghuram\, Harder--Raghuram\, J
 anuszewski\, Grobner--Lin\, and etc.\n
LOCATION:https://researchseminars.org/talk/AIM-RTNCG-SemRepTh/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yoshiki Oshima (Osaka University)
DTSTART:20210909T081000Z
DTEND:20210909T090000Z
DTSTAMP:20260422T212901Z
UID:AIM-RTNCG-SemRepTh/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AIM-RTNCG-Se
 mRepTh/5/">On the asymptotic support of Plancherel measures for homogeneou
 s spaces</a>\nby Yoshiki Oshima (Osaka University) as part of Seminar in R
 epresentation Theory\n\n\nAbstract\nLet $G$ be a real reductive group and 
 $X$ a homogeneous $G$-manifold. The Plancherel measure for $X$ describes h
 ow $L^2(X)$ breaks up into irreducible unitary representations of $G$. We 
 discuss asymptotics of the support of Plancherel measure and relate it wit
 h geometry of coadjoint orbits. In particular\, we give a sufficient condi
 tion for the existence of discrete series. This is a joint work with Benja
 min Harris.\n
LOCATION:https://researchseminars.org/talk/AIM-RTNCG-SemRepTh/5/
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